The area of the forest after 15 years will be 2189.4
What is an area?The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
i = The initial area of the forest = 4200km
r = Per year decrease is = 4.25%
n = Number of years = 15
The required formula is
The area of forest will be
A = i (1-r)^n
A = 4200(1-0.425)^15
A= 2189.4
Hence, the area of the forest will be 2189.4
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In ABC segment DC bisects /_C and divides AB into segment AD and BD. CD = 6 units and AC = 8.5, then which statement would
justify that ACD - BCD?
Answer:
ABC=BCD wtdf
Step-by-step explanation:
Through (-2,-1) and perpendicular to the graph of F(x) - 1/5x + 1 ( function notation)
The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.
What is the equation of line that passes through the given point and is perpendicular to f(x) = (-1/5)x + 1?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the graph
f(x) = (-1/5)x + 1
Using the slope intercept, slope m is -1/5
The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.
Slope of perpendicular line = -1 / (-1/5)
Slope of perpendicular line = 5
Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - (-1) ) = 5( x - (-2) )
( y + 1 ) = 5( x + 2 )
y + 1 = 5x + 10
y = 5x + 10 - 1
y = 5x + 9
f(x) = 5x + 9
Therefore, the equation of the perpendicular line is f(x) = 5x + 9.
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Circle C has radius 8 ft with an arc AB intercepted by a central angle of pi/4 radians. What is the length of arc AB expressed in
terms of pi?
Answer:
b
Step-by-step explanation:
The arc length is, 720 ft.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
Length of an arc is given by:
l = r Ф .....[1]
where r is the radius of the circle and Ф is the angle in radian.
From the given information;
In a circle with a radius 8 ft with an arc AB intercepted by a central angle of pi/4 radians.
r = 8 ft and radian pi/4
Substitute these values in [1] we have;
l = r Ф
l = 8 x pi/4 ft.
l = 4 pi
l = 4 x 180
l = 720 ft
therefore, the arc length is, 720 ft.
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Find two Equivalent fractions of 4/2
Answer:
40/20 & 22/11
Step-by-step explanation:
To find an equivalent fraction to 4/2, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:By dividing the original fraction by 2, we get:4 ÷ 2 / 2 ÷ 2 = 21. By multiplying the original fraction by 2, we get:4 × 2 / 2 × 2 = 8/4. Here is the full list of equivalent fractions to 4/2. 2/1, 4/2, 6/3, 8/4, 10/5, 12/6, 14/7, 16/8, 18/9, 20/10, 22/11, 24/12, 26/13, 28/14, 30/15, 32/16, 34/17, 36/18, 38/19, 40/20...
suppose 210 subjects are treated with a drug that is used to treat pain and 53 of them developed nausea. Use a 0.01 significance level to test the claim that more than 20% of users develop nausea.
9. Find the range, mean, median, and mode of the following data set. 5, 17, 21, 21, 7, 13, 1, 3 a. Range 20 Mean 11 Median 10 Mode 21 c. Range 20 Mean 10 Median 10 Mode 21 b. Range 24 Mean 11 Median 10 Mode 21 d. Range 20 Mean 11 Median 21 Mode 21
The perimeter of a rectangle is 408cm and the length is 134cm. Find the rectangle’s width.
Answer: 70 cm
Step-by-step explanation: perimeter = 2*width + 2*length
408 = 2*width + 2*134
408 = 2*width + 268
Subtract 268 from both sides.
140 = 2*width
DIvide both sides by 2
Width = 70 cm
Answer:
The width of the rectangle is 70 cm
Step-by-step explanation:
Given,
The perimeter of a rectangle is 408 cmThe length is given as 134 cmTo Find : The width of the rectangle
As we know, the formula to find the Perimeter of the rectangle is
[tex]P = 2(l+b)[/tex]
Now the Perimeter is given and the length
[tex]408 = 2(134 + b)[/tex]
Now using distributive property
[tex]408 = 268 + 2b[/tex]
[tex]408 - 268 = 2b[/tex]
[tex]140 = 2b[/tex]
[tex]\frac{140}{2} = b[/tex]
[tex]70cm = b[/tex]
Hence, the width of the rectangle is 70 cm
P(-3,6) y el intercepto =-10, encontrar la pendiente
The slope of the line, given the point on the line and the y - intercept, is - 5. 33
How o find the slope ?The slope of a line tells us the relationship between the dependent variable and the independent variable. In other words, it tells us what a change in the independent variable leads to in the dependent variable.
The slope can be found in the slope - intercept formula form of :
y = mx + b
m is the slope
b is the y - intercept
We have the y - intercept and a y and x value in ( -3, 6 ) so the slope is:
6 = - 3 ( m ) + ( - 10 )
6 = - 3m - 10
- 3m = 6 + 10
- 3 m = 16
m = 16 / - 3
m = - 5. 33
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A tile is a square with an area of 64 cm square
Answer:
To find the perimeter, we will first find the side of the square tile.
Area - side ×side64 = side×side64=side² 8×8= side8=side Side = 8 cm.ㅤ
Now,let us find perimeter.
Perimeter - 4 ×side=4×8= 32cm Perimeter - 32cm.In the ΔTUV below, find the m∠U to the nearest degree
Answer:
∠U=70°
Step-by-step explanation:
[tex]Cos~U=\frac{32^2+40^2+42^2}{2(32)(40)}[/tex]
[tex]Cos~U=43/128[/tex]
∠ U= [tex]Cos^{-1}(43/28)[/tex]
∠ U= [tex]70[/tex]
------------------------
hope it helps...
have a great day!!!
Answer:
∠U=70°
Step-by-step explanation:
hope it helps
g(x) = (2 (x+3))^3 + 4
.....................................
12. A bowl with 60 red candies and 24 green
candies was used to decorate cookies. The
same ratio of red to green candies in the
bowl was used to decorate each cookie. If
a cookie had 15 red candies, how many
green candies did it have?
Answer:
45 green candies did the cookie have.
Leo wants to buy some shoes. He found the shoes at two different stores for a price of $35.
The stores are each having a sale.
- Store X is offering 15% off the price of the shoes.
- Store Y is offering $5 off the price of the shoes.
Calculate the difference between the total of the price for the shoes?
Answer:
$3.50
Step-by-step explanation:
Store X:
0.15*35 = 5.25
35-5.25 = 29.75 dollars
Store Y:
0.05*35 = 1.75
35-1.75 = 33.25 dollars
Total difference:
33.25-29.75 = 3.50 dollars
Carl coaches a youth basketball team. Pat is one of the players on the
team. The number of points Pat has made each game this season and
last season are shown in the table below.
This season 6, 12, 5, 4, 6, 8, 7
Last season 0, 3, 4, 6, 4, 9, 2, 1, 3, 4, 5
Carl decides which players to put on the court based on the third quartile
of the number of points they have made. How much higher is Pat's third
quartile this season than last season?
the q3 is just above the median so
Step-by-step explanation:
its higher by 5
Can someone help me with this? It's urgent.
The table is filled as described , shown below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Rate per hour is $11.25
Number of regular hours is 40
Payment for regular hours:
time multiply with payment=
40*$11.25 = $450
Again, we have,
Rate per overtime hour:
$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)
Number of overtime hours:
48.5 - 40 = 8.5
Payment for overtime hours:
$16.88*8.5 = $143.48
Now, we get ,
Gross payment is the sum of regular and overtime payments:
$450 + $143.48 = $593.48
Hence, he would get $593.48
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Find the distance between the points E(1,7) and F(-3,2).
Answer:
d = √(x²~x¹)² + (y²-y1)²
Step-by-step explanation:
√(1--3)² + (7-2)²
the square root covers everything
then put this answer on the calculator
Answer:
[tex]\sqrt{41}[/tex]
Step-by-step explanation:
First of all this is too easy, if you are having problems with this then I highly recommend you to ask your teacher for help
Formula -> [tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Identify which is x and which is y
-> E (1,7) F(-3,2)
|[tex]x_1[/tex]|[tex]y_1[/tex]| |[tex]x_2[/tex]|[tex]y_2[/tex]|
-> [tex]D=\sqrt{(-3-1)^2+(2-7)^2}[/tex]
-> [tex]D=\sqrt{(-4)^2+(-5)^2}[/tex]
-> [tex]D=\sqrt{16+25}[/tex]
-> [tex]D=\sqrt{41}[/tex]
What is 5 times the quotient of 3 and 5?
Answer: 3
Step-by-step explanation:
5 X 3/5 = 3
Identify the sequence that lists sides of STU in order from shortest to longest
ST, UT, SU
UT, SU, ST
SU, ST, UT
SU, UT, ST
On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit
what is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
the sum of the areas of the circle, the triangle, and the square.
Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.
A = 210-123 = 87 sq unit
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jaden makes 63% of the free throws he shoots. About how many shots do you predict he will have to take to make 15 free throws?
Answer:
I don't understand
Step-by-step explanation:
but hope u will understand
Answer:
3
Step-by-step explanation:
The ratio 81:108 in the simplest form
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
The area of the square is 25. The area of the circle is 39. What is the area of the shaded regions?
Answer:
c.
Step-by-step explanation:
First at all you need the half circle area formula:
(Pi*r2)/2 = 18Pi
After resolved this you have: r = 6, then diameter= 12
Then c) Its perimer is 40 because AB + CD + BC + AD = 40
Approximate the solutions to this system.
y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.
Answer:
[tex]x = \± 0.82[/tex]
[tex]y =-3.18 \ or\ -4.82[/tex]
Step-by-step explanation:
Given
[tex]y = 3x^2 + x - 6[/tex]
[tex]y = x -4[/tex]
Required
The solution
First, we equate both expressions.
[tex]y = y[/tex]
[tex]3x^2 + x - 6 = x - 4[/tex]
Subtract x from both sides
[tex]3x^2 - 6 = - 4[/tex]
Add 6 to both sides
[tex]3x^2 = 2[/tex]
Divide both sides by 3
[tex]x^2 = 0.667[/tex]
Solve for x
[tex]x = \± \sqrt{0.667[/tex]
[tex]x = \± 0.82[/tex]
To solve for y, we have:
[tex]y = x -4[/tex]
This gives
[tex]y = \± 0.82 - 4[/tex]
Split
[tex]y = 0.82 - 4 \ or\ -0.82 - 4[/tex]
[tex]y =-3.18 \ or\ -4.82[/tex]
Ms. Sharon bought 84 litre of cooking oil. She used 1/3 of it on Monday and another 20 litre
of it on Tuesday.
a) How much oil she used on Monday?
b) How much cooking oil did she use altogether?
c) How much cooking oil was left with her?
d) Write the fraction of cooking oil left with her
How many 1/2 - pound packages of cheese can the deli make with 12 pounds of cheese?
Answer:
24
Step-by-step explanation:
The explanation is 12/.5 = 24
What is the volume of the figure below?
Answer:
90
Step-by-step explanation:
4.5*4*5= 90
Please help me!!! I will try to give brainliest!!!
What is the value of m in the figure below? If necessary , round your answer to the nearest tenth of a unit
Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.
What are similar triangles?Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.
From the concept of the similar triangle,
3/BD = BD/12
BD² = 12 × 3
BD² = 36
As triangle BDC is a right-angled triangle, use Pythagoras' theorem
m² = BD² + 3²
m² = 36 + 9
m² = 45
m = √45
m = 6.708
m ≈ 6.71
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a room to be carpeted is 20 ft length and 20 ft width and cost $2.25 a square foot. how much do it cost to carpet the room?
Apskaičiuokite pavaizduoto kūgio tūrį. Laikykite, kad π≈3
Answer:
Say wahhhhh!
Step-by-step explanation:
John made a kite with all four sides the same length, as shown below. What is the perimeter of the kite?
help ple
Answer:
A
Step-by-step explanation:
The formula to find the perimeter of a rhombus is p=4a
and 4 times 1 2/3= 4 2/3